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6.5 Other Angle Relationships in Circles 6.5 Other Angle Relationships in Circles

6.5 Other Angle Relationships in Circles - PowerPoint Presentation

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6.5 Other Angle Relationships in Circles - PPT Presentation

Theorem 613 If a tangent and a chord intersect at a point on the circle then the measure of each angle formed is one half the measure of its intercepted arc httpdemonstrationswolframcomTangentChordAngle ID: 546070

find angle theorem intercepted angle find intercepted theorem circle measure arcs worksheet intersect measures difference sum arc tangent formed

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Slide1

6.5 Other Angle Relationships in CirclesSlide2

Theorem

6.13

If a tangent

and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.

http://demonstrations.wolfram.com/TangentChordAngle/Slide3

Worksheet # 1 - 12Slide4

Theorem

6.14

Angles Inside the Circle Theorem:

If two chords intersect

inside a circle, then the measure of each angle is one half the

sum of the measures of the arcs intercepted by the angle and its vertical angle.

Slide5

Worksheet # 13 - 24Slide6

Theorem

6.15

Angles Outside the Circle Theorem:

If a tangent and a secant, two tangents or two secants intersect

outside a circle, then the measure of the angle formed is one half the

difference of the measures of the intercepted arcs.

Slide7

Worksheet # 25 - 36Slide8

Angles: On, Inside, Outside

On: Angle is half the intercepted arc.

Inside: Angle is half the sum of the intercepted arcs

.

Outside: Angle is half the difference of the intercepted arcs.Slide9

Find m<1Slide10

Find mEFGSlide11

Find the values of x and y.Slide12

Find the value of x.Slide13

Find the value of x.Slide14

Find the value of x.Slide15

Worksheet # 37

– 67 oddsHomework # 38 – 69 evens